Systems of Equations- STAAR Review

Front

What are the slopes of perpendicular lines?

Back

The slopes of perpendicular lines are opposite reciprocals.

Front

If a bag contains 39 coins consisting of quarters (q) and nickels (n) with a total value of $6.35, what system of equations can be used to find q and n?

Back

1) q + n = 39 (total coins) 2) 0.25q + 0.05n = 6.35 (total value)

Front

What slope is perpendicular to m = 5/8?

Back

The slope that is perpendicular to m = 5/8 is -8/5.

Front

How can you represent a system of linear equations from a table of values?

Back

You can represent a system of linear equations by identifying the relationships between the variables in the table.

Front

How many months will it take for two car loans to be equal if their repayment plans are represented by linear equations?

Back

It will take 25 months for the car loans to be equal.

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables.

Front

What does it mean for two lines to be parallel in terms of their slopes?

Back

Two lines are parallel if they have the same slope.

Front

What is the graphical representation of a system of equations?

Back

The graphical representation of a system of equations is the point(s) where the lines intersect.

Front

How do you solve a system of equations using substitution?

Back

To solve using substitution, solve one equation for one variable and substitute that expression into the other equation.

Front

What is the elimination method in solving systems of equations?

Back

The elimination method involves adding or subtracting equations to eliminate one variable.